Finding the Third Proportional to 332,943 and 510,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   332,943 : 510,592.50 = 510,592.50 : x
2. Step 2: Convert to fraction form
   332,943/510,592.50 = 510,592.50/x
3. Step 3: Cross multiply
   332,943x = 510,592.50 × 510,592.50
4. Step 4: Simplify right side
   332,943x = 260,704,701,056.25
5. Step 5: Solve for x
   x = 260,704,701,056.25/332,943
6. Step 6: Final answer
   x = 783,031.03